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Finding the Third Proportional to 217,419 and 466,975

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Solution

The third proportional to 217,419 and 466,975 is: 1,002,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,419 : 466,975 = 466,975 : x
  2. Step 2: Convert to fraction form
    217,419/466,975 = 466,975/x
  3. Step 3: Cross multiply
    217,419x = 466,975 × 466,975
  4. Step 4: Simplify right side
    217,419x = 218,065,650,625
  5. Step 5: Solve for x
    x = 218,065,650,625/217,419
  6. Step 6: Final answer
    x = 1,002,974.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.